# .999~ = 1

Discussion in 'Off-Topic' started by Afronight_76, Dec 8, 2005.

1. ### Leopard

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Those are the wrong step.

This is the fact:
10(x) - x = 9(x)

so,

10(.999~) - .999~ != 9 //not equal

but

10(.999~) - .999~ = 9(.999~)

9(.999~) = 8,999~ != 9

Then,

1 != .999~

2. ### Mastermind

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aright i understod all you postet, leopard. exepting the ! thing. can you explein? :?

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!= means not equal to.

4. ### Xeridanus

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heres some more evidence that .999~ = 1.

1/9 = .111~
2/9 = .222~
3/9 = .333~
...
...
7/9 = .777~
8/9 = .888~
therefore, 9/9 = .999~. but we know that 9/9 simplifies to 1.

therefore .999~ = 1. case sovled.

5. ### Leopard

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There are missing a very small value on that statements, so .999~ = 1. How about this:

1/9 = .11111111111~~~~~~1
8/9 = .88888888888~~~~~~9
-------------------------- +
9/9 = 1.00000000000~~~~~~0

However, counting in floating number is a lil bit inaccurate. That's why we sometimes ignore a very small value.

6. ### Xeridanus

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yes, i completely agree with you. .999~ = 1